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Econometrica Vol. 86 No. 1 2018

Equilibrium Selection in Auctions and High Stakes Games

Paul Milgrom1; Joshua Mollner2,3

1 Department of EconomicsStanford University · 2 Kellogg's (Canada) · 3 Decision Sciences (United States)

open access

Abstract

We introduce the test†set equilibrium refinement of Nash equilibrium to formalize the idea that players contemplate only deviations from equilibrium play in which a single competitor plays a non†equilibrium best response. We then apply this refinement to three well†known auction games, comparing our findings to similar ones previously obtained by specialized equilibrium selections. We also introduce a theory of high stakes versions of games, in which strategies are first proposed and then subjected to a potentially costly review†and†revise process. We demonstrate a sense in which the test†set equilibria emerge from such processes when the cost of revision is small.

DOI
10.3982/ecta12536
Volume
86
Issue
1
Pages
219-261
Language
en
Sources
openalex bibtex:phds-export.bib crossref

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